Pretty much.

Look at actual history: the Mesoamericans (Aztecs, Maya, Olmecs, non-aztec Nahuas, Mixtecs, Zapotecs, Purepecha, Totonacs, Huastecs, Chiichimeca, etc), despite basically being ancient greece tier and using wheels for otheer shit (such as toys, pic related), didn't use wheels for transportation because most of the terrain in their region was either jungles or mountainous, and they didn't have any pack animals to actually tie carts to.

And they even fucking HAS roads, the Maya had an extensive road network they built through the jungle, and the fucking Aztecs built roads all across the lake system from island to island and shore to shore that all of their core cities were built on/around.

That being said, this sort of thing/making new technology in general is more an issue of cost/benefit anayaysos then actual utility: Obviously carts would have still been useful for them, but it just didn't SEEM useful so they didn't invest in it. This is also why indepedent invention of civilization and writing is so rare: Civilization was only ever invented 6 times indepedently (Mesoamerica, Egypt, Mesoptoamia, China, the Andes, India) and writing was only ever invented 3 times (Mesoamerica, Mesopotamia, China): Despite the fact that to us there are obvious benefits to those things, if you are a small nomadic village who is getting by fine just on doing limited agriculture and hunting, why bother with the up front cost of fully seettling down and doing full agriculture and building monuments when from your perspective you can't possibly invision the long term benefits of it?

Since Senku already knows the potential benefits of wheeled transportation, it'd still probably be useful even if he doesn't have acceess to draft animals or roads, he'll just need to be more careful about when it'd be useful vs not.